The Bundesliga needed a late leveller from Kingsley Coman to rescue a 1-1 draw with the Austrian side after Chukwubuike Adamu's strike.
The tie is now delicately poised ahead of the return fixture with Bayern only failing to qualify for the quarter-finals once in the past decade.
Bayern Munich v Red Bull Salzburg: Date and time
This Champions League clash will take place on Tuesday, March 8.
The last-16 second leg clash at the Allianz Arena will kick-off at 8pm.
Julian Nagelsmann's Bayern drew 1-1 with Bayer Leverkusen at the weekend ahead of this match while Salzburg smashed Altach 4-0.
Bayern Munich v Red Bull Salzburg: Live stream and TV Channel
This match will be broadcast live on BT Sport 3 with live coverage starting from 7:30pm.
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Bayern Munich v Red Bull Salzburg: Team news
The hosts are again without several key players through injury including Corentin Tolisso, Manuel Neuer, Alphonso Davies and Leon Goretzka.
But Bayern are expected to welcome back Thomas Muller from illness with the German joining Robert Lewandowski in attack.
Salzburg have an extensive injury list with Albert Vallci, Sekou Koita, Ousmane Diakite, Bryan Okoh, Benjamin Sesko and Jerome Onguene all out.
Noah Okafor and Oumar Solet both started the first leg against Bayern but have since added to the club's injury problems.